Bifurcation analysis and optimal control of an epidemic model with limited number of hospital beds

作     者：A.K.Misra Jyoti Maurya 

作者机构：Department of MathematicsInstitute of Science Banaras Hindu UniversityVaranasi 221005India 

出 版 物：《International Journal of Biomathematics》 (生物数学学报（英文版）)

年 卷 期：2023年第16卷第4期

页      面：229-253页

核心收录：

学科分类：0710[理学-生物学] 07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：The authors also thankfully acknowledge financial support from Council of Scientific and Industrial Research India through a research fellowship(File No.09/013(0841)/2018-EMR-I)Jyoti Maurya and DST-Science and Engineering Research Board MATRICS Expert committee(File No.MTR/2021/000819)A.K.Misra to carry out this research work 

主　　题：Hospital beds Hopf-bifurcation saddle-node bifurcation transcritical bifurcation Bogdanov-Takens bifurcation optimal control 

摘      要：This paper deals with a three-dimensional nonlinear mathematical model to analyze an epidemic s future course when the public healthcare facilities,specifically the number of hospital beds,are *** feasibility and stability of the obtained equilibria are analyzed,and the basic reproduction number(Ro)is *** show that the system exhibits transcritical *** show the existence of Bogdanov-Takens bifurcation,we have derived the normal *** have also discussed a generalized Hopf(or Bautin)bifurcation at which the first Lyapunov coefficient *** show the existence of saddle-node bifurcation,we used Sotomayor s ***,we have identified an optimal layout of hospital beds in order to control the disease with minimum possible *** optimal control setting is studied analytically using optimal control theory,and numerical simulations of the optimal regimen are presented as well.